S. Bertoluzza et al., A DYNAMICALLY ADAPTIVE WAVELET METHOD FOR SOLVING PARTIAL-DIFFERENTIAL EQUATIONS, Computer methods in applied mechanics and engineering, 116(1-4), 1994, pp. 293-299
We present an adaptive wavelet method for the approximation of partial
differential equations, well suited when the solution has local lack
of regularity. A stability result is established, as well as a compari
son with the standard Galerkin method.